A4.00 m-long steel cable is used to support a church chandelier. after the 226-kg chandelier is hung from the ceiling, the steel cable is lengthened by 3.00 mm. calculate the diameter of the cable in millimeters. (the young’s modulus for steel is × /

4.22 mm

Explanation:

E = Young’s modulus for steel = 210 GPa (generally)

= Change in length = 3 mm

= Original length = 4 m

A = Area of cable

g = Acceleration due to gravity = 9.81 m/s²

r = Radius of cable

d = Diameter = 2r

m = Mass of chandelier = 226 kg

= Longitudinal strain =

Uniaxial stress is given by

The diameter of the cable is 4.22 mm

explanation:

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